Display Vertices as Circles
You can render (Viewport &gt; Viewport Render Animation) just as particle's   Halo (default particle Point) ... the only one thing that differs is perspective (far particles are smaller than front ones).
Since it isn't geometry, just visual representation, could be memory intensive as representation of vertices.
Under Overlay Properties in 3D view editor enable Statistics to see from how many vertices your &quot;foam&quot; consists. Add Particle system with the same amount of particles as vertices. Frame Start 0 End 1 (or go to Render &gt; Extra &gt; Unborn). Source &gt; Vertices (disable Random Order). Physics Type &gt; None.
Default size 0.1

Size 0.01